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328926240 = 25325228421
BaseRepresentation
bin10011100110110…
…000010000100000
3211220221011222100
4103212300100200
51133201114430
652350010400
711102553426
oct2346602040
9756834870
10328926240
11159741175
12921a6a00
13531b8116
1431983116
151dd24960
hex139b0420

328926240 has 72 divisors (see below), whose sum is σ = 1122465708. Its totient is φ = 87713280.

The previous prime is 328926223. The next prime is 328926253. The reversal of 328926240 is 42629823.

328926240 is a `hidden beast` number, since 3 + 28 + 9 + 2 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 328769424 + 156816 = 18132^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 328926195 and 328926204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112771 + ... + 115650.

Almost surely, 2328926240 is an apocalyptic number.

328926240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328926240 is an abundant number, since it is smaller than the sum of its proper divisors (793539468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

328926240 is a wasteful number, since it uses less digits than its factorization.

328926240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228442 (or 228431 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 328926240 is about 18136.3237730252. The cubic root of 328926240 is about 690.2919999151.

The spelling of 328926240 in words is "three hundred twenty-eight million, nine hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 228421 456842 685263 913684 1142105 1370526 1827368 2055789 2284210 2741052 3426315 3654736 4111578 4568420 5482104 6852630 7309472 8223156 9136840 10278945 10964208 13705260 16446312 18273680 20557890 21928416 27410520 32892624 36547360 41115780 54821040 65785248 82231560 109642080 164463120 328926240